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Finding the Third Proportional to 44,692 and 95,096

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Solution

The third proportional to 44,692 and 95,096 is: 202,346.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,692 : 95,096 = 95,096 : x
  2. Step 2: Convert to fraction form
    44,692/95,096 = 95,096/x
  3. Step 3: Cross multiply
    44,692x = 95,096 × 95,096
  4. Step 4: Simplify right side
    44,692x = 9,043,249,216
  5. Step 5: Solve for x
    x = 9,043,249,216/44,692
  6. Step 6: Final answer
    x = 202,346.04

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.